Results 1 to 2 of 2

Math Help - Double integrals changing order of integration

  1. #1
    Senior Member
    Joined
    Feb 2008
    Posts
    297

    Double integrals changing order of integration

    I can evaluate the integrals. Could someone please check whether I've changed the order correctly?

    1) \int_0^1\int_{y^2}^1 2\sqrt{x}e^{x^2} \ dx \ dy

    = \int_0^1\int_0^{\sqrt{x}} 2\sqrt{x}e^{x^2} \ dy \ dx


    2) \int_0^1\int_{y}^1 e^{x^2} \ dx \ dy

    = \int_0^1\int_{0}^x e^{x^2} \ dy \ dx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,829
    Thanks
    1602
    They're both correct, well done.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 8th 2011, 04:59 PM
  2. Replies: 1
    Last Post: November 28th 2010, 08:34 PM
  3. Replies: 2
    Last Post: December 1st 2009, 01:29 PM
  4. Double Integrals - Order of Integration
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 24th 2009, 12:02 PM
  5. changing the order of integrals
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 14th 2009, 06:47 AM

Search Tags


/mathhelpforum @mathhelpforum